How to Find GCF of 82/742, 53/894, 503/974?

GCF of 82/742, 53/894, 503/974

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 82/742, 53/894, 503/974 i.e 1/161525238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/742, 53/894, 503/974.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 82/742,53/894,503/974?

Given fractions are 82/742,53/894,503/974

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 82/742,53/894,503/974, numerators are 82,53,503

Denominators are 742,894,974

The GCF of 82,53,503 is 1 .

LCM of 742,894,974 is 161525238.

The greatest common factor of 82/742,53/894,503/974 = [GCF of 82,53,503]/[LCM of 742,894,974]= 1/161525238

Therefore, the GCF of 82/742,53/894,503/974 is 1/161525238.

Greatest Common Factor of 82,53,503

To find the highest common factor of 82,53,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 53 are 1, 53

The factors of 503 are 1, 503

The HCF of 82,53,503 is 1.

Lets's calculate GCF of 82,53,503

Greatest Common Factor (GCF) of 82,53,503 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 82,53,503 By Matching Biggest Common Factor Method

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 53

1,53

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 82,53,503 . The biggest common factor number is the GCF number.
So the greatest common factor 82,53,503 is 1.

Lets's calculate LCM of 742,894,974

Lowest Common Multiple of 742,894,974 using Common Division

2	742, 894, 974
	371, 447, 487

∴ So the LCM of the given numbers is 2 x 371 x 447 x 487 = 161525238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161525238

Therefore, the GCF of Fractions 82/742,53/894,503/974 is 1/161525238

Least Common Multiple of 742,894,974 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 742,894,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,894,974) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(742,894,974) x common factors =2 x 2 = 4

LCM(742,894,974) = ( 742 × 894 × 974 ) / 4

LCM(742,894,974) = 646100952 / 4

LCM(742,894,974) = 161525238

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 82/742, 53/894, 503/974

1. What is the HCF of 82,53,503?

The HCF of 82,53,503 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 82/742, 53/894, 503/974?

Answer: GCF of Numerators as per given numbers 82/742, 53/894, 503/974 is

GCF of Numerators i.e. for 82,53,503 is 1

LCM of denominators i.e. for 742,894,974 is 161525238.

Thus, GCF of Fractions is 1/161525238.Finally, GCF of Fractions for 82/742, 53/894, 503/974 is 1/161525238.